At the North Fair you earn 9 points for each bull's eye you hit, but you lose 7 points for each miss. After 25 tries, Linda has 33 points. How many hits did she have? Responses A 1414 B 1313 C 1212 D 11
Let's assume Linda had x hits and (25 - x) misses.
The points earned from the hits = 9 * x
The points lost from the misses = 7 * (25 - x)
Therefore, the equation becomes:
9x - 7(25 - x) = 33
9x - 175 + 7x = 33
16x = 33 + 175
16x = 208
x = 208/16
x = 13
So, Linda had 13 hits.
Therefore, the answer is B) 1313.
Joshua is the place kicker for his college football team. Last season he kicked 42 times and never missed. Each field goal scored 3 points, and each extra point scored 1 point, for a total of 86 points. How many field goals did Joshua kick? Responses A 1919 B 2020 C 2222 D 23
Let's assume Joshua kicked x field goals.
Since each field goal scored 3 points, the total points from field goals = 3 * x = 3x.
Since each extra point scores 1 point, and Joshua didn't miss any extra points, the total points from extra points = 1 * (42 - x) = 42 - x.
The total number of points can be calculated by adding the points from field goals and the points from extra points: 3x + (42 - x) = 86.
Combining like terms and simplifying the equation, we get:
2x + 42 = 86.
Subtracting 42 from both sides of the equation gives:
2x = 44.
Dividing both sides of the equation by 2 gives:
x = 22.
Therefore, Joshua kicked 22 field goals.
Thus, the answer is D) 23.